Abstract

We construct a restricted classical graded continuation on the fixed I-B/X-A-ST host, separating nonlinear field nilpotence, action compatibility, free-shell descent, and finite reporting. The normalized zero-coupling field rules, gauge fermion, auxiliary–ghost Green matrix, and graded causal relations are re-established explicitly. Free causal recovery is an identity of the resulting free presentation, not a claim that a classical product has become an interacting quantum product.

The principal restricted construction is the centralizer of the classical master residual in the local variational BV algebra. Its Hamiltonian operator is nilpotent on that domain even when the master residual is nonzero. This gives a precise, nonempty restricted classical complex without asserting unrestricted symmetry restoration. A separate compactly tested free-solution witness proves that the prescribed nonlinear scalar rule does not descend to the unchanged unrestricted free-shell quotient. The witness works for every fixed scalar mass in this particular descent problem; it neither extends nor discharges the distinct prepared-insertion problem of XVI-N.

Conditional correction and quantum-presentation theorems state the additional identities required for descent, nilpotence, and exact free-fiber recovery. Finite rank and left-kernel tests are valid only after complete coverage of the declared correction space has been proved. The odd, ghost-number-one master residual and the even reciprocity pairing remain different targets.

Complete destructive residual-report instruments are recovered on identical installed finite interfaces, including arbitrary untouched references. Their adaptive composition, regular transport, resource fit, and error budget are proved locally. They encode supplied numerical evaluations, not Grassmann elements or acquired continuum fields.

The contribution is an explicit compatibility and obstruction package, not a new general BV formalism. Its potential use is to prevent a restricted classical differential, a successful report, or one cancelled diagnostic from being mistaken for interacting quantum BRST. The ramp width remains fixed and positive; it is not a thickness assigned to the conical worldsheet. No aligned-null contraction, renormalized interacting product, inherited characteristic quantum coefficient, metric reconstruction, or clock-free relational time is constructed.